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Finding the Fourth Proportional to 820.77, 1,133.70 and 774.60

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Solution

The fourth proportional to 820.77, 1,133.70 and 774.60 is: 1,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.77 : 1,133.70 = 774.60 : x
  2. Step 2: Convert to fraction form
    820.77/1,133.70 = 774.60/x
  3. Step 3: Cross multiply
    820.77x = 1,133.70 × 774.60
  4. Step 4: Simplify right side
    820.77x = 878,164.02
  5. Step 5: Solve for x
    x = 878,164.02/820.77
  6. Step 6: Final answer
    x = 1,069.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.